Results 41 to 50 of about 9,569,640 (309)
Construction of L-equienergetic graphs using some graph operations
AKCE International Journal of Graphs and Combinatorics, 2020 For a graph G with n vertices and m edges, the eigenvalues of its adjacency matrix A(G) are known as eigenvalues of G. The sum of absolute values of eigenvalues of G is called the energy of G.
S. K. Vaidya, Kalpesh M. Popat
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The approach to criticality in sandpiles [PDF]
, 2010 A popular theory of self-organized criticality relates the critical behavior of driven dissipative systems to that of systems with conservation. In particular, this theory predicts that the stationary density of the abelian sandpile model should be equal
A. A. Járai +8 more
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Times Series Forecasting for Urban Building Energy Consumption Based on Graph Convolutional Network [PDF]
Applied Energy, 2021 The world is increasingly urbanizing and the building industry accounts for more than 40% of energy consumption in the United States. To improve urban sustainability, many cities adopt ambitious energy-saving strategies through retrofitting existing ...
Yuqing Hu +5 more
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On Energy and Laplacian Energy of Graphs
The Electronic Journal of Linear Algebra, 2016 Let $G=(V,E)$ be a simple graph of order $n$ with $m$ edges. The energy of a graph $G$, denoted by $\mathcal{E}(G)$, is defined as the sum of the absolute values of all eigenvalues of $G$. The Laplacian energy of the graph $G$ is defined as \[ LE = LE(G)=\sum^n_{i=1}\left|\mu_i-\frac{2m}{n}\right| \] where $\mu_1,\,\mu_2,\,\ldots,\,\mu_{n-1 ...
Das, Kinkar Ch., Mojalal, Seyed Ahmad
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The total π-electron energy saga: Continuation [PDF]
Kragujevac Journal of ScienceThe total π-electron energy, as calculated within the Hückel molecular orbital approximation, is a much studied quantum chemical characteristics of unsaturated conjugated compounds. Its theory, together with that of its modification called "graph energy",
Gutman Ivan
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Developments in the theory of randomized shortest paths with a comparison of graph node distances [PDF]
, 2013 There have lately been several suggestions for parametrized distances on a graph that generalize the shortest path distance and the commute time or resistance distance.
Kivimäki, Ilkka +2 more
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Bounds on Energy and Laplacian Energy of Graphs [PDF]
Journal of the Indonesian Mathematical Society, 2017 Let G be simple graph with n vertices and m edges. The energy E(G) of G, denotedby E(G), is dened to be the sum of the absolute values of the eigenvalues of G. Inthis paper, we present two new upper bounds for energy of a graph, one in terms ofm,n and another in terms of largest absolute eigenvalue and the smallest absoluteeigenvalue.
Sridhara, G., Kanna, Rajesh M. R.
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Graph states as ground states of many-body spin-1/2 Hamiltonians [PDF]
, 2006 We consider the problem whether graph states can be ground states of local interaction Hamiltonians. For Hamiltonians acting on n qubits that involve at most two-body interactions, we show that no n-qubit graph state can be the exact, non-degenerate ...
H. J. Briegel +4 more
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On Relationships of Eigenvalue–Based Topological Molecular Descriptors
Acta Chimica Slovenica, 2020 Three eigenvalue-based topological molecular descriptors are compared using several datasets of alkanes. Two of them are well-known and frequently employed in various QSPR/QSAR investigations, and third-one is a newly derived whose predictive potential ...
Izudin Redžepović, Boris Furtula
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Belief Propagation on replica symmetric random factor graph models [PDF]
, 2016 According to physics predictions, the free energy of random factor graph models that satisfy a certain "static replica symmetry" condition can be calculated via the Belief Propagation message passing scheme [Krzakala et al., PNAS 2007].
Coja-Oghlan, Amin, Perkins, Will
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